Details

Time bar (total: 21.5s)

sample49.0ms

Algorithm
intervals
Results
16.0ms324×body80nan
13.0ms272×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5001
61794
5791
4440
3188
264
124
012

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.2b
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (sqrt x))

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
31×add-sqr-sqrt
25×add-cube-cbrt
24×prod-diff
16×add-cbrt-cube add-exp-log
15×distribute-rgt-in distribute-lft-in
12×associate-*r*
11×pow1
8×distribute-lft-out
6×add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u associate-*l* pow-prod-down sqrt-prod log1p-expm1-u
3×fma-def times-frac associate-/l*
2×cbrt-undiv sub-neg div-exp associate--l+ associate-*r/ *-commutative distribute-lft-out-- unswap-sqr
1×+-commutative clear-num associate-/r* sum-log frac-2neg flip3-+ flip3-- flip-+ div-inv flip-- difference-of-squares
Counts
4 → 119
Calls
4 calls:
11.0ms
(+ y (/ 1.0 (* x 9.0)))
195.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
9.0ms
(/ 1.0 (* x 9.0))
12.0ms
(* 3.0 (sqrt x))

series183.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ y (/ 1.0 (* x 9.0)))
66.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
27.0ms
(/ 1.0 (* x 9.0))
58.0ms
(* 3.0 (sqrt x))

simplify1.7s

Counts
131 → 131
Iterations
IterNodes
done5001
23908
1658
0230

prune584.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (- (/ (/ 1.0 x) 9.0) 1.0))
0.2b
(* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0)))
0.3b
(* 3.0 (* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0))))
0.3b
(/ (/ 1.0 x) 9.0)

rewrite783.0ms

Algorithm
rewrite-expression-head
Rules
273×times-frac
209×*-un-lft-identity
203×add-sqr-sqrt
199×add-cube-cbrt
131×associate-+r+
129×prod-diff
17×div-inv
16×add-cbrt-cube add-exp-log
13×associate-/l*
11×pow1
9×associate-*l* add-log-exp
6×associate-*r* associate-*r/
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u pow-prod-down prod-exp sqrt-prod cbrt-unprod log1p-expm1-u distribute-lft-out
3×cbrt-undiv associate-/r* fma-def flip3-+ div-exp flip-+
2×sum-log *-commutative distribute-lft-out-- unswap-sqr
1×+-commutative clear-num associate-+r- sub-neg frac-2neg diff-log associate-/l/
Counts
4 → 279
Calls
4 calls:
101.0ms
(+ y (- (/ (/ 1.0 x) 9.0) 1.0))
340.0ms
(* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0)))
311.0ms
(* 3.0 (* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0))))
14.0ms
(/ (/ 1.0 x) 9.0)

series188.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ y (- (/ (/ 1.0 x) 9.0) 1.0))
66.0ms
(* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0)))
73.0ms
(* 3.0 (* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0))))
19.0ms
(/ (/ 1.0 x) 9.0)

simplify2.0s

Counts
291 → 291
Iterations
IterNodes
done5000
24799
11268
0531

prune2.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (sqrt 1.0) (sqrt x)) 9.0)
0.2b
(* (sqrt x) (+ y (- (* (/ (sqrt 1.0) (sqrt x)) (/ (/ (sqrt 1.0) (sqrt x)) 9.0)) 1.0)))
0.3b
(* 3.0 (* (sqrt x) (+ y (- (* (/ (sqrt 1.0) (sqrt x)) (/ (/ (sqrt 1.0) (sqrt x)) 9.0)) 1.0))))
0.3b
(* (/ (sqrt 1.0) (sqrt x)) (/ (/ (sqrt 1.0) (sqrt x)) 9.0))

rewrite782.0ms

Algorithm
rewrite-expression-head
Rules
597×times-frac
423×add-sqr-sqrt
336×sqrt-prod
292×*-un-lft-identity
290×add-cube-cbrt
129×associate-*r*
49×associate-*l*
40×associate-/l*
37×add-cbrt-cube add-exp-log
32×unswap-sqr
13×pow1
12×cbrt-undiv div-exp
10×prod-exp cbrt-unprod div-inv
7×associate-*r/
5×distribute-rgt-in distribute-lft-in pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* *-commutative
2×flip3-+ flip-+
1×frac-times clear-num frac-2neg associate-*l/ distribute-lft-out associate-/l/
Counts
4 → 455
Calls
4 calls:
26.0ms
(/ (/ (sqrt 1.0) (sqrt x)) 9.0)
355.0ms
(* (sqrt x) (+ y (- (* (/ (sqrt 1.0) (sqrt x)) (/ (/ (sqrt 1.0) (sqrt x)) 9.0)) 1.0)))
224.0ms
(* 3.0 (* (sqrt x) (+ y (- (* (/ (sqrt 1.0) (sqrt x)) (/ (/ (sqrt 1.0) (sqrt x)) 9.0)) 1.0))))
128.0ms
(* (/ (sqrt 1.0) (sqrt x)) (/ (/ (sqrt 1.0) (sqrt x)) 9.0))

series755.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(/ (/ (sqrt 1.0) (sqrt x)) 9.0)
259.0ms
(* (sqrt x) (+ y (- (* (/ (sqrt 1.0) (sqrt x)) (/ (/ (sqrt 1.0) (sqrt x)) 9.0)) 1.0)))
244.0ms
(* 3.0 (* (sqrt x) (+ y (- (* (/ (sqrt 1.0) (sqrt x)) (/ (/ (sqrt 1.0) (sqrt x)) 9.0)) 1.0))))
156.0ms
(* (/ (sqrt 1.0) (sqrt x)) (/ (/ (sqrt 1.0) (sqrt x)) 9.0))

simplify1.4s

Counts
467 → 467
Iterations
IterNodes
done5001
11831
0541

prune2.4s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
14.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
250.0ms
(* (cbrt y) (cbrt y))
211.0ms
(cbrt y)
517.0ms
(cbrt y)
254.0ms
(cbrt y)

simplify1.2s

Counts
93 → 93
Iterations
IterNodes
done5001
2725
1142
065

prune600.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes357.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done26
126
019

end0.0ms

sample1.5s

Algorithm
intervals
Results
576.0ms8633×body80nan
573.0ms8530×body80valid